{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I will use this notebook to demonstrate some calculations of photon emission properties from a nanofiber-trapped neutral atom system using MEEP and plotting in Julia."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "run(pipeline(`mpirun -n 6 meep-mpi \"nanofiber_2d.ctl\"`, \"nanofiber_2d.out\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Local field evolution\n",
    "\n",
    "This should be obtained by setting up a point-monitor at the dipole position and append time-dependent field components in some short periods. \n",
    "The data is stored in the `nanofiber-Ert.h5` file.\n",
    "Now we plot out the time-dependent evolution of the field at the dipole position."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ex.i                     Dataset {60000/Inf}\n",
      "ex.r                     Dataset {60000/Inf}\n",
      "ey.i                     Dataset {60000/Inf}\n",
      "ey.r                     Dataset {60000/Inf}\n",
      "ez.i                     Dataset {60000/Inf}\n",
      "ez.r                     Dataset {60000/Inf}\n"
     ]
    }
   ],
   "source": [
    "run(`h5ls nanofiber_2d-Ert-ex.h5`)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7faffd78ed50>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n",
      "(60000,)\n",
      "0.004\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "1.3342786187695876e-17"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using PyPlot\n",
    "using HDF5\n",
    "ex = h5read(\"nanofiber_2d-Ert-ex.h5\", \"ex.r\") + im*h5read(\"nanofiber_2d-Ert-ex.h5\", \"ex.i\")\n",
    "ey = h5read(\"nanofiber_2d-Ert-ex.h5\", \"ey.r\") + im*h5read(\"nanofiber_2d-Ert-ex.h5\", \"ey.i\")\n",
    "ez = h5read(\"nanofiber_2d-Ert-ex.h5\", \"ez.r\") + im*h5read(\"nanofiber_2d-Ert-ex.h5\", \"ez.i\")\n",
    "println(ndims(ex)) # Print out the dimension of the variables to check if it's a vector (output 1). Otherwise, use permutedims to flip the data dimension.\n",
    "ex = ex[end:-1:1]; ey = ey[end:-1:1]; ez = ez[end:-1:1];\n",
    "println(size(ex))\n",
    "lent=length(ex)\n",
    "dt=240.0/(lent-0.0)\n",
    "println(dt)\n",
    "t=linspace(0,240.0,lent)+dt/2.0\n",
    "figure(figsize=(9,3))\n",
    "subplot(1,3,1)\n",
    "ax=plot(t,real(ex))\n",
    "plot(t,imag(ex))\n",
    "title(\"\\$E_x(t)\\$ \")\n",
    "xlabel(L\"t\")\n",
    "ylabel(L\"$E_i$ (arbitrary units)\")\n",
    "legend([\"Real\", \"Imag\"],fontsize=8)\n",
    "\n",
    "subplot(1,3,2)\n",
    "ax=plot(t,real(ey))\n",
    "plot(t,imag(ey))\n",
    "title(\"\\$E_y(t)\\$\")\n",
    "xlabel(L\"t\")\n",
    "#ylabel(L\"$E_y$ (arbitrary units)\")\n",
    "legend([\"Real\", \"Imag\"],fontsize=8)\n",
    "\n",
    "subplot(1,3,3)\n",
    "ax=plot(t,real(ez))\n",
    "plot(t,imag(ez))\n",
    "title(\"\\$E_z(t)\\$\")\n",
    "xlabel(L\"t\")\n",
    "#ylabel(L\"$E_z$ (arbitrary units)\")\n",
    "legend([\"Real\", \"Imag\"],fontsize=8)\n",
    "\n",
    "a=1.0e-6; c=2.99792458e8; t_unit=a/c;\n",
    "deltaT=240.0*t_unit/(lent-1) # $\\delta T$ in SI units. In MEEP, T is scaled by t_unit=a/c where a is the unit of length."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can plot out the detected signal in the frequency domain correspondingly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7faffd54a810>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(60000,)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7faffd1d4ad0>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#nUniquePts = ceil(Int, (lent+1)/2); # Nuquist sampling points of data.\n",
    "ex_f=fft(ex); ey_f=fft(ey); ez_f=fft(ez);\n",
    "#ex_f=fftshift(ex); ey_f=fftshift(ey_f); ez_f=fftshift(ez_f); # Have to shift the frequency domain data for complex singal. See: http://www.exegetic.biz/blog/2015/10/monthofjulia-day-37-fourier-techniques/ \n",
    "\n",
    "freq = linspace(0,1/deltaT,lent)/1e12;\n",
    "println(size(freq))\n",
    "figure(figsize=(9,3))\n",
    "subplot(1,3,1)\n",
    "plot(freq,real(ex_f))\n",
    "plot(freq,imag(ex_f))\n",
    "xlabel(L\"f(THz)\")\n",
    "xlim([320,350])\n",
    "ylabel(L\"$E_i(f)$ (arbitrary units)\")\n",
    "title(\"\\$E_x(f)\\$\")\n",
    "legend([\"Real\", \"Imag\"],fontsize=8)\n",
    "\n",
    "subplot(1,3,2)\n",
    "plot(freq,real(ey_f))\n",
    "plot(freq,imag(ey_f))\n",
    "xlabel(L\"f(THz)\")\n",
    "xlim([320,350])\n",
    "#xticks(linspace(800,960,5))\n",
    "title(\"\\$E_y(f)\\$\")\n",
    "legend([\"Real\", \"Imag\"],fontsize=8)\n",
    "\n",
    "subplot(1,3,3)\n",
    "plot(freq,real(ez_f))\n",
    "plot(freq,imag(ez_f))\n",
    "xlabel(L\"f(THz)\")\n",
    "xlim([320,350])\n",
    "#xticks(linspace(800,960,5))\n",
    "title(\"\\$E_x(f)\\$\")\n",
    "legend([\"Real\", \"Imag\"],fontsize=8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It becomes tricky now to tranvert the unit of frequency in MEEP to a normal scale. I am not sure about this part for now. See the dipole signal below."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## The time-evolution of the dipole source\n",
    "To calculate the Green function at the dipole position, we need to use the time-evolution of the dipole source which is essentially described by the following function\n",
    "$$E_i = E_0 \\exp{\\left[-i\\omega t-\\frac{(t-t_0)^2}{2w^2}\\right]},$$\n",
    "where $w=\\frac{1}{df}$ is the time width of the signal and $df$ is the frequency width in the special units defined by MEEP. In the simulation script, the center of time $t_0$ is defined by \n",
    "$t_0=t_{start}+\\Delta t_{cutoff}$ with the starting time $t_{start}=0$ and the cutoff time $t_{cutoff}=5$ by default. So, the signal of the input component will look like the following."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7faffd151990>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7fb0001a0e10>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df=deltaT; \n",
    "w=1/0.02*t_unit;\n",
    "lambda0=0.895e-6;\n",
    "ω=2.*pi*c/lambda0 \n",
    "t_cutoff=5*t_unit; t_0=t_cutoff;\n",
    "t=t*t_unit;\n",
    "E_source=exp(-im*ω*t);#exp(-im*ω*t-(t-t_0).^2/2/w^2);\n",
    "# Using a fitted data from the nanofiber.ipynb\n",
    "E_source_fit=(5.78e+3exp(1.*pi/6.3.*im))*E_source;\n",
    "# Correct the sign flip of the imaginary part of the fitted dipole signal function.\n",
    "E_source_fit=real(E_source_fit)-im*imag(E_source_fit);\n",
    "# Plot the resulted dipole signal function of time.\n",
    "figure;\n",
    "plot(t,real(E_source_fit))\n",
    "plot(t,imag(E_source_fit))\n",
    "title(\"\\$E_{source}(t)/E_0\\$\")\n",
    "xlabel(L\"t(s)\")\n",
    "#ylabel(L\"$E_y$ (arbitrary units)\")\n",
    "legend([\"Real\", \"Imag\"],fontsize=8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, let's look at the signal in the frequency domain."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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pLjk5WZ9//rmysrI0derUcv9WFhUV6de//rWeeeaZMtfxfeGFF9ShQwfdeeedfp0/AJjB1ND7u9/9TvPmzZNkrHM7dOhQzZ8/v9y1ISVpxYoV+te//qX+/fsrIiJCqampmjFjhpo1a6a0tLQSC54DQEP1/vvva+/evRo/fnyVz5k+fbp69+6tW265pczn77jjDi1ZsqTUCgsAUBeZGnr37NmjH3/8UUePHtXy5cvVtGlTJSYmVnsFhk8++UR9+/bVuHHjlJiY6KfZAkD9dv78+VItDQBQX1na0ztw4EBlZWVp69at1T63d+/eyszM1J49e8o9JjMzU++//746derkvaMaAAAAgSMvL08HDhzQwIED/bpkoaX/xR82bJgefPBB7d27t9p367Zv377CwCsZb/eNHDmyNlMEAACACRYvXqy77rrLb69vaejNy8uTJGVlZVX73H379qlVq1YVHuO5S3rx4sXq3r17ta8B/5o4caJmzpxp9TRQBn43gY3fT+DidxO4+N0Erp07d2rkyJF+337clNDrdDpLBdTz589r4cKFCgkJUY8ePSQZ21RmZWWpS5cu3nVuL9wQwuO9995TampqpTsReVoaunfvXus1fuF7DoeD30uA4ncT2Pj9BC5+N4GL303g83crqimhd9y4ccrOzlbfvn3Vrl07paena8mSJdq9e7deffVV753BkydPVnJysg4cOOBdM7d37966+uqrdc0118jhcCg1NVVJSUnq2LGjnnjiCTOmDwAAgDrOlNA7YsQIvfXWW5o7d65OnDih8PBw9erVSy+//LJuv/1273E2m63UxhMjRozQu+++qw0bNig3N1fR0dEaN26cpkyZUml7AwAAACCZFHqHDx+u4cOHV3pcUlKSkpKSSoxNmzZN06ZN89fUAAAA0ADUbD9fwAcSEhKsngLKwe8msPH7CVz8bgIXvxtYuk6vv6WlpalXr15KTU2leR0AgAbg0KFDyszMtHoauEBUVJT3Xq2ymJXX2IoHAADUC4cOHVL37t2Vm5tr9VRwgdDQUO3cubPC4GsGQi8AAKgXMjMzlZuby/r8AcSzBm9mZiahFwAAwJdYnx9l4UY2AAAA1HuEXgAAANR7hF4AAADUe4ReAAAA1HuEXgAAAFRowYIFstvtOnTokNVTqTFCLwAAQB2wcOFC2e1270eTJk100UUXacyYMTp69Khfr22z2WSz2fx6DX9jyTIAAIA6wmazafr06erUqZPy8/O1detWJSUl6ZNPPtF///tfNW3a1OopBixCLwAEqFmzpMJCadIkq2cCIJAMGjTIuw7xvffeq5YtW+qll17S2rVrNWzYMItnF7hobwCAALV2rfTuu1bPAkCgu+mmm+R2u/XDDz+UGF+/fr369u2rsLAwRUREaMiQIfruu+9KHPPtt99qzJgx6ty5s0JCQhQdHa377rtPJ0+eNPNbMAWVXgAIUE6nZKc0AaAS+/fvlyQ1b97cO7Zo0SKNHj1agwYN0ksvvaTc3FzNmTNHN910k7Zv3+7dEnjDhg3av3+/7r33XrVp00Y7duzQvHnz9N133+mzzz6z5PvxF0IvAASojAwpJMTqWQAINFlZWTpx4oS3p3fatGkKCQnRkCFDJElnz57Vww8/rLFjx2rOnDne8+655x5169ZNzz33nObOnStJ+sMf/qBHH320xOtfd911uvPOO/XJJ5+oT58+5n1jfkboBYAA5HJJmZlSeLjVMwHqp9xcadcu/1/n0kul0FDfvZ7b7dYtt9xSYuziiy/W0qVL1bZtW0lG9TYrK0sjRozQiRMnvMfZbDZdd9112rRpk3csKCjI+3lBQYFycnJ03XXXye12Ky0tjdALAPCvkyeN4JudbTzS5gD41q5dUq9e/r9Oaqr0v3vOfMJmsykxMVFdu3ZVVlaW/v73v2vLli0lVm3Yu3ev3G63+vfvX+b5DofD+/WpU6c0depULVu2TBkZGSWOy8rK8t3EAwChFwACkOffHrdbOnNGuuDfKAA+cOmlRiA14zq+du2113pXb/jVr36lG2+8UXfeead2796t0NBQuVwu2Ww2LV68WD/72c9Knd+4cXH8i4+P19atWzVp0iRdddVVCgsLk8vl0sCBA+VyuXw/eQsRegEgAF1QcNHp04RewNdCQ31bgbWK3W7X888/r/79++v111/XpEmT1LlzZ7ndbrVq1UoDBgwo99zTp0/rP//5j6ZPn64///nP3vHvv//ejKmbjjfMACAAOZ3Fn9ezdxgB+NjNN9+s2NhYzZo1S4WFhRo4cKAiIiL03HPP6fz586WOz8zMlCQ1atRIkkpVdGfOnFnnd18rC5VeAAhAP630AoBk3MhWlscff1zx8fFasGCBd9WGu+++WzExMRoxYoRatWqlQ4cO6d1339WNN96o1157TeHh4erbt69eeuklFRYWql27dvr3v/+tAwcOlHuduoxKLwAEIKdT8tyXQugF4FFeBfY3v/mNOnfurFdeeUVut1sJCQnauHGjLrroIr3yyit65JFHtGzZMl199dUaM2aM97yUlBQNHDhQiYmJevLJJxUUFKT169fLZrPVu2ovlV4ACEAZGdLPf27cYU57AwDJWGf3nnvuKfM5m82mvXv3lhjr27ev+vbtW+FrRkdHa+XKlaXGi4qKqnztuoJKLwAEoIwMqX17KTiYSi8A+AKhFwACkNMptW5trNpA6AWA2iP0AkAAysgwQm9kJO0NAOALhF4ACEAZGVKrVlR6AcBXCL0AEGDOnze2IfZUegm9AFB7hF4ACDD/Wzee9gYA8CFCLwAEGM/GFLQ3AIDvEHoBIMB4tiCmvQEAfIfQCwABxlPppb0BAHyH0AsAASYjw9iUolmz4vYGt9vqWQFA3UboBYAA49mYwmYzKr3nzkl5eVbPCgDqNkIvAAQYz8YUkhF6JVocAKC2CL0AEGA8G1NIRnuDxM1sAKSFCxfKbrcrLS3N6qnUSYReAAgwnvYGqbjSS+gFIEk2m83qKdRZhF4ACDAXVnppbwAA3zAl9H733XcaPny4OnfurGbNmqlVq1a6+eab9c9//rNK52dlZWns2LFq3bq1wsLCNGDAAG3fvt3PswYAa1zY00t7A4DyjB49WuHh4Tp8+LCGDBmi8PBwXXTRRUpMTJQkffvtt7rlllsUFhamTp06KSUlpcT5p06d0h//+EddeeWVCg8Pl8Ph0G233aZvvvmm1LUOHTqkuLg4hYWF6Wc/+5keffRR/fvf/5bdbteWLVtM+X5rq7EZFzl48KBycnI0evRotW3bVrm5uVq1apXi4uI0f/583X///eWe63a7ddttt+nbb7/VpEmT1LJlSyUmJqpfv35KS0tT586dzfgWAMAUBQVSdnZx6A0Lk+x2Kr0ASrPZbHK5XBo8eLBuvvlmvfzyy1qyZIkeeughNWvWTH/+8581cuRIDR06VHPnztU999yj3r17q2PHjpKkffv2ae3atYqPj9fFF1+s48ePa968eerXr5++++47tWnTRpKUm5ur/v376/jx43rkkUf0s5/9TEuXLtWmTZvqVruF2yIul8vds2dPd/fu3Ss8btmyZW6bzeZevXq1d8zpdLqbN2/uvuuuuyo8NzU11S3JnZqa6pM5A4C/HT7sdktu97vvFo+1aOF2v/CCdXMC6or6/u/+ggUL3Ha73fv9jR492m23290vvvii95jTp0+7Q0ND3Y0aNXKvWLHCO7579263zWZz/+Uvf/GOFRYWlrrGwYMH3cHBwe5nnnnGOzZjxgy33W53r1u3zjtWUFDg7t69u9tut7s//PDDcudcld+JWb83Uyq9ZbHZbGrfvr22bdtW4XGrVq1SmzZtdMcdd3jHoqKiNHz4cC1ZskTnzp1TkyZN/D1dADDFhbuxeXg2qADgO7nncrUrc5ffr3Np1KUKbRLq12vcd9993s8dDocuueQS/fDDDxo2bJh3vFu3boqMjNS+ffu8YxfmJ5fLpdOnTys0NFSXXHJJiRUi3n//fbVr105DhgzxjjVt2lQPPPCA/vjHP/rr2/I5U0Nvbm6u8vLylJWVpXfeeUfr169XQkJCheds375dMTExpcZjY2P1t7/9TXv27NFll13mrykDgKmcTuPxwtDLVsSA7+3K3KVe83v5/TqpY1MVE106x/hKcHCwWrZsWWLM4XDooosuKnWsw+HQqVOnvF+73W7NmjVLc+bM0f79+1VUVCTJKExGRUV5jzt48GCZ7aRdunTx1bdhClND72OPPaZ58+ZJkux2u4YOHarZs2dXeM6xY8d08803lxqPjo6WJB09epTQC6De8FR6Pas3SEbopdIL+NalUZcqdWyqKdfxp0aNGlVr3H3BnubPPvuspkyZovvvv1/PPPOMWrRoIbvdrocfflgul8sv87WSqaF34sSJio+P19GjR7V8+XIVFRWpoKCgwnPy8vIUFBRUajw4OFhut1t57M0JoB7JyDBuXgsJKR6jvQHwvdAmoX6twNYFq1at0oABAzR//vwS46dPn1arC/7n3bFjR+3cubPU+Xv37vX7HH3J1HV6u3XrpgEDBmjkyJFau3atzpw5o7i4uArPCQkJKTMY5+fny2azKeTCfxkAoI67cGMKD9obAPhDo0aNSlR+JWnFihU6cuRIibGBAwfqyJEjWrdunXcsPz9fb775pinz9BXLbmSTpGHDhunBBx/U3r171bVr1zKPiY6O1rFjx0qNe8batm1b6XUmTpwoh2exy/9JSEiotJ8YAMx24cYUHlR6AXj8NKTWxpAhQzR9+nTde++96t27t7799lstWbKkVP/uuHHj9Prrr2vEiBF6+OGHFR0drSVLlngLj9VZtiwlJaXUesFZJv2v3tLQ62lNqOib7dmzpz7++ONS41u3blVoaKi6detW6XVmzpxZ5s1wABBoLtyYwoOeXgAePw2Y5QXOssZtNluJ8SeffFK5ublaunSpli9frl69eum9997T5MmTSxzXrFkzbdq0SQ899JBee+01hYWF6Z577tH111+vYcOGKTg4uMrzL6vomJaWpl69/H9ToSntDU7P7cgXOH/+vBYuXKiQkBD16NFDkpSenq7du3d77x6UjGrw8ePHtXr1au9YZmamVq5cqbi4OJYrA1Cv0N4AoDz33HOPioqKvIW8pKSkMguHmzZt0tdff11qfN++fXrnnXe8Xzdt2lQvvfSSfvzxR+Xk5OjDDz9UbGys/vOf/2jjxo0lzu3YsaPWrl2rnJwcpaen68UXX9TBgwclqcyVIgKRKZXecePGKTs7W3379lW7du2Unp6uJUuWaPfu3Xr11VcVGmqsXzd58mQlJyfrwIED6tChgyQj9M6aNUtjxozRjh07FBUVpcTERLlcLk2dOtWM6QOAacprbzh7Vjp3TuL/+QCskJ+fX6Kim5+fr3nz5qlr167eFbUCnSmhd8SIEXrrrbc0d+5cnThxQuHh4erVq5defvll3X777d7jbDab7PaSxWe73a7169fr8ccf1+zZs5WXl6fY2FglJyeX2wcMAHVVeZVeyaj2XrB0JgCY5je/+Y06dOignj176vTp01q8eLH27NmjpUuXWj21KjMl9A4fPlzDhw+v9LikpCQlJSWVGnc4HJo/f36pJTUAoD45e9b4IPQCCDSDBg3Sm2++qaVLl6qoqEg9evTQsmXLSuz6FugsvZENAFDMc/tDWe0NEjezAbDOhAkTNGHCBKunUSumrtMLAChfWVsQS8WVXkIvANQcoRcAAoRnC+KK2hsAADVD6AWAAOEJvT/t242IMB6p9AJAzRF6ASBAOJ1GVbdp05LjjRtLYWGEXgCoDUIvAASIsnZj82CDCgCoHVZvAIAAUdbGFB4OB5VeoKp27txp9RTwP4H0uyD0AkCAKGtjCo/ISEIvUJmoqCiFhoZq5MiRVk8FFwgNDVVUACwyTugFgACRkSFde23Zz9HeAFSuQ4cO2rlzpzIzM62eCi4QFRWlDh06WD0NQi8ABIrK2huOHDF3PkBd1KFDh4AIWAg83MgGAAHA7a68vYFKLwCGexvMAAAgAElEQVTUHKEXAALAmTNSQQE9vQDgL4ReAAgAno0pWL0BAPyD0AsAAcDpNB4rqvRmZ0sul3lzAoD6hNALAAHAU+ktL/Q6HEbgzckxb04AUJ8QegEgAGRkSDab1LJl2c9HRhqPtDgAQM0QegEgADidRuBt1Kjs5z2hlxUcAKBmCL0AEAAyMspvbZCM9gaJSi8A1BShFwACQEUbU0i0NwBAbRF6ASAAVLQxhUR7AwDUFqEXAAJAZZXe4GCpaVMqvQBQU4ReAAgAlfX0SuzKBgC1QegFAIu5XFJmZtVCL+0NAFAzhF4AsNjp09L58xW3N0hsRQwAtUHoBQCLVbYbmwftDQBQc4ReALCY02k80t4AAP5D6AUAi3kqvbQ3AID/EHoBwGJOp7H9cPPmFR9HewMA1ByhFwAs5lmj117JX2TaGwCg5gi9AGCxyjam8KC9AQBqjtALABarbAtij8hIqbBQys/3/5wAoL4h9AKAxaqyG5tkhF6Jai8A1AShFwAsVp32BonQCwA1QegFAItVp71B4mY2AKgJQi8AWKioSMrMrFropdILADVH6AUAC504IbndVWtvoKcXAGqO0AsAFqrqFsSSFBZmrOVLewMAVB+hFwAs5NmCuCqh126XIiKo9AJATRB6AcBCntBblfYGia2IAaCmCL0AYCGnU2ra1KjgVgVbEQNAzZgSerdt26bx48fr8ssvV1hYmDp27Kjf/va32rt3b6XnLly4UHa7vdRHo0aNlOEpkQBAHeXZmMJmq9rxbEUMADXT2IyLvPjii/r0008VHx+vK6+8Uunp6Zo9e7ZiYmL0+eefq0ePHhWeb7PZNH36dHXq1KnEeKTnVmYAqKOqujGFB+0NAFAzpoTexx57TCkpKWrcuPhyw4cP1xVXXKEXXnhBycnJlb7GoEGDFBMT489pAoDpqroxhUdkpPT99/6bDwDUV6a0N1x//fUlAq8kdenSRZdddpl27txZ5dfJycmRy+Xy9fQAwDKe9oaqor0BAGrG0hvZjh8/rqioqEqPc7vd6tevnyIiIhQaGqpf/epX+p5SB4B6gPYGADCHKe0NZVm8eLGOHDmiZ555psLjQkNDNWbMGPXv318RERFKTU3VjBkz1KdPH6Wlpaldu3YmzRgAfK8m7Q2s3gAA1WdJ6N21a5fGjx+vPn366O67767w2Pj4eMXHx3u/jouL0y9/+Uv17dtXzz77rBITE/09XQDwi8JC6dSp6rc35ORI589LjS0rWwBA3WP6n8zjx4/r9ttvV/PmzbVixQrZqrpOzwX69Omj6667Th988EGVjp84caIcDkeJsYSEBCUkJFT72gDgK5mZxmN12xsko9rbsqXv5wQA/pSSkqKUlJQSY1kmvX1laujNzs7WoEGDlJ2drY8//lht2rSp8Wu1b99ee/bsqdKxM2fOZOUHAAHH6TQeq9veIBF6AdRNZRUd09LS1KtXL79f27TQW1BQoCFDhuj777/Xxo0bdckll9Tq9fbt26dW1SmPAECA8eyvU932Bomb2QCgukxZvcHlcmn48OH6/PPPtXLlSsXGxpZ5XHp6unbv3q2ioiLvWKbn/b8LvPfee0pNTdXgwYP9NmcA8DdP6K1pewMAoOpMqfQ++uijWrduneLi4pSZmaklS5aUeP6uu+6SJE2ePFnJyck6cOCAOnToIEnq3bu3rr76al1zzTVyOBxKTU1VUlKSOnbsqCeeeMKM6QOAXzidUmio1KxZ1c/xhF4qvQBQPaaE3q+//lo2m03r1q3TunXrSj3vCb02m012e8ni84gRI/Tuu+9qw4YNys3NVXR0tMaNG6cpU6bQ3gCgTqvuxhSSFBFhPBJ6AaB6TAm9mzZtqtJxSUlJSkpKKjE2bdo0TZs2zR/TAgBLVXdjCklq0sSoDNPeAADVY+mObADQkFV3YwoPtiIGgOoj9AKARWrS3iCxFTEA1AShFwAsUpP2BomtiAGgJgi9AGAR2hsAwDyEXgCwQH6+dOZMzSu9hF4AqB5CLwBYoCZbEHvQ3gAA1UfoBQAL1GQLYg/aGwCg+gi9AGCBmmxB7EF7AwBUH6EXACzgaW+ozeoNbrdv5wQA9RmhFwAskJFhbCkcHFz9cx0OyeWScnJ8Py8AqK8IvQBggZqu0SsZlV6JFgcAqA5CLwBYoKZr9ErFoZcVHACg6gi9AGCBmm5BLBntDRKVXgCoDkIvAFiA9gYAMBehFwAsQHsDAJiL0AsAJnO7a9feEBwsNWlCpRcAqoPQCwAmO3tWysureXuDzcZWxABQXYReADCZZ2OKmlZ6JXZlA4DqIvQCgMk8WxDXJvQ6HIReAKgOQi8AmMwTemva3iDR3gAA1UXoBQCTedoboqJq/hpUegGgegi9AGCyjAypRQtjBYaaoqcXAKqH0AsAJqvNxhQetDcAQPUQegHAZLXZmMKD9gYAqB5CLwCYrDYbU3jQ3gAA1UPoBQCT+aq9oaBAys/3zZwAoL4j9AKAyXzV3iDR1wsAVUXoBQATud2+a2+QaHEAgKoi9AKAibKypHPnfNPe4Hk9AEDlCL0AYCLPxhS+am+g0gsAVUPoBQATebYgpr0BAMxF6AUAE3lCb23bG8LDJZuN9gYAqCpCLwCYyOmU7HZjG+LasNuliAgqvQBQVYReADBRRoYUFSU1alT712KDCgCoOkIvAJjI6ax9a4NHZCTtDQBQVYReADCRL9bo9XA4qPQCQFURegHARL4MvbQ3AEDVEXoBwES0NwCANQi9AGAi2hsAwBqmhN5t27Zp/PjxuvzyyxUWFqaOHTvqt7/9rfbu3Vul87OysjR27Fi1bt1aYWFhGjBggLZv3+7nWQOAb7lcUmamb9sbqPQCQNU0NuMiL774oj799FPFx8fryiuvVHp6umbPnq2YmBh9/vnn6tGjR7nnut1u3Xbbbfr22281adIktWzZUomJierXr5/S0tLUuXNnM74FAKi1U6ekoiLftTdQ6QWAqjMl9D722GNKSUlR48bFlxs+fLiuuOIKvfDCC0pOTi733BUrVuizzz7TqlWrdMcdd0iS4uPj1a1bNz399NNavHix3+cPAL7gqy2IPSIjpTNnjCDti3V/AaA+M6W94frrry8ReCWpS5cuuuyyy7Rz584Kz121apXatGnjDbySFBUVpeHDh+udd97RuXPn/DJnAPA1X21B7BEZaTxmZ/vm9QCgPrP0Rrbjx48rKiqqwmO2b9+umJiYUuOxsbHKzc3Vnj17/DU9APApp9N49OWNbBItDgBQFZaF3sWLF+vIkSMaMWJEhccdO3ZM0dHRpcY9Y0ePHvXL/ADA1zIypMaNiyu0teV5HUIvAFTOktC7a9cujR8/Xn369NHdd99d4bF5eXkKCgoqNR4cHCy32628vDx/TRMAfCojw2htsNl883qe0MsKDgBQOdND7/Hjx3X77berefPmWrFihWyV/PUPCQlRQUFBqfH8/HzZbDaFhIT4a6oA4FNOp+9aGyTaGwCgOkxZvcEjOztbgwYNUnZ2tj7++GO1adOm0nOio6N17NixUuOesbZt21b6GhMnTpTD86/D/yQkJCghIaGKMweA2vPlxhQSoRdA3ZOSkqKUlJQSY1kmvV1lWugtKCjQkCFD9P3332vjxo265JJLqnRez5499fHHH5ca37p1q0JDQ9WtW7dKX2PmzJll3gwHAGbKyJAuush3r9e0qRQaSnsDgLqjrKJjWlqaevXq5fdrm9Le4HK5NHz4cH3++edauXKlYmNjyzwuPT1du3fvVlFRkXds2LBhOn78uFavXu0dy8zM1MqVKxUXF6cmTZr4ff4A4Au+bm+Q2KACAKrKlErvo48+qnXr1ikuLk6ZmZlasmRJiefvuusuSdLkyZOVnJysAwcOqEOHDpKM0Dtr1iyNGTNGO3bsUFRUlBITE+VyuTR16lQzpg8APuHr9gbJuJmN0AsAlTMl9H799dey2Wxat26d1q1bV+p5T+i12Wyy20sWn+12u9avX6/HH39cs2fPVl5enmJjY5WcnKyuXbuaMX0AqLXz56UTJ3y3MYVHZCTtDQBQFaaE3k2bNlXpuKSkJCUlJZUadzgcmj9/vubPn+/rqQGAKU6cMB5pbwAAa1i6IxsANBSeLYhpbwAAaxB6AcAEntBLewMAWIPQCwAmcDqNR9obAMAahF4AMEFGhhQcLIWF+fZ1aW8AgKoh9AKACTIyjNaGSnZerzZPe4Pb7dvXBYD6htALACbwx8YUktHeUFQknT3r+9cGgPqE0AsAJvDHxhSSUemVuJkNACpD6AUAE3jaG3zN4TAe6esFgIoRegHABP5qb/BUegm9AFAxQi8AmID2BgCwFqEXAPyssNAIpbQ3AIB1CL0A4Gf+2phCkkJDpcaNCb0AUBlCLwD4mWcLYn+EXpuNrYgBoCoIvQDgZ55Krz/aGyS2IgaAqiD0AoCfeSq9/gq9bEUMAJUj9AKAn2VkSGFhRv+tP9DeAACVI/QCgJ85nf6r8kq0NwBAVRB6AcDP/LVGrwftDQBQOUIvAPiZGaGX9gYAqBihFwD8jPYGALAeoRcA/Iz2BgCwHqEXAPzMjNCbny8VFPjvGgBQ1xF6AcCPcnOls2f9394g0dcLABUh9AKAH3l2Y/N3pVeixQEAKkLoBQA/8uzGZkbopdILAOUj9AKAH3kqvWa0N1DpBYDyEXoBwI88lV5/hl4qvQBQOUIvAPhRRoZRiW3a1H/XCA83Hqn0AkD5CL0A4EdOp3/7eSWpUSMpIoLQCwAVIfQCgB/5e41eD7YiBoCKEXoBwI8yMvzbz+vBVsQAUDFCLwD4kRntDRJbEQNAZQi9AOBHtDcAQGAg9AKAn7jdtDcAQKAg9AKAn+TkSAUFtDcAQCAg9AKAn5ixBbEH7Q0AUDFCLwD4iRm7sXnQ3gAAFSP0AoCfOJ3Go1mV3uxsqajI/9cCgLqI0AsAfpKRIdlsUsuW/r9WZKTxeOaM/68FAHWRaaH37NmzevrppzV48GC1bNlSdrtdycnJVTp34cKFstvtpT4aNWqkDM/7hwAQYDIypBYtpMaN/X8th8N4pMUBAMpmwp9iQ2ZmpqZPn66OHTuqZ8+e2rx5c7XOt9lsmj59ujp16lRiPNJT3gCAAGPWxhRScaWX0AsAZTMt9LZt21bp6elq3bq1UlNTde2111b7NQYNGqSYmBg/zA4AfM+sjSmk4tDLCg4AUDbT2huaNGmi1j7465+TkyOXy+WDGQGAfzmd5qzcINHeAACVqTM3srndbvXr108REREKDQ3Vr371K33//fdWTwsAymVmpZfQCwAVM629oTZCQ0M1ZswY9e/fXxEREUpNTdWMGTPUp08fpaWlqV27dlZPEQBKMTP0BgVJISG0NwBAeepE6I2Pj1d8fLz367i4OP3yl79U37599eyzzyoxMdHC2QFAaW63ue0NEhtUAEBF6kx7w0/16dNH1113nT744AOrpwIApZw+LZ0/b16lV2IrYgCoSJ2o9Janffv22rNnT6XHTZw4UQ5Pw9v/JCQkKCEhwV9TA9DAeZYQNzv0UukFEMhSUlKUkpJSYizLpP+t1+nQu2/fPrWqwnuHM2fOZKkzAKbybEFMewMAFCur6JiWlqZevXr5/doB196Qnp6u3bt3q+iCDeQzMzNLHffee+8pNTVVgwcPNnN6AFAlVlV6aW8AgLKZWul94403dPr0aR05ckSStHbtWh0+fFiSNGHCBIWHh2vy5MlKTk7WgQMH1KFDB0lS7969dfXVV+uaa66Rw+FQamqqkpKS1LFjRz3xxBNmfgsAUCUZGVKjRlLz5uZd0+GQWMkRAMpmauh95ZVXdOjQIUnGtsJr1qzRmjVrJEmjRo1SeHi4bDab7PaSBegRI0bo3Xff1YYNG5Sbm6vo6GiNGzdOU6ZMqVJ7AwCYzemUoqIku4nvp9HTCwDlMzX07t+/v9JjkpKSlJSUVGJs2rRpmjZtmr+mBQA+Z+YavR60NwBA+QKupxcA6gMrQq/nRja329zrAkBdQOgFAD8we2MKyaj0nj8v5eaae10AqAsIvQDgB1a1N0i0OABAWQi9AOAHVrU3SNzMBgBlIfQCgI8VFUknTljT3iARegGgLIReAPCxkycll4v2BgAIJIReAPAxK3Zjk2hvAICKEHoBwMecTuPR7PaGZs2MXeAIvQBQGqEXAHzMqkqvzcYGFQBQHkIvAPhYRobUpIkUEWH+tT0bVAAASiL0AoCPOZ1GlddmM//akZGEXgAoC6EXAHzMijV6PWhvAICyEXoBwMcyMsy/ic2D9gYAKBuhFwB8zNPeYAXaGwCgbIReAPAx2hsAIPAQegHAx2hvAIDAQ+gFAB86d046dYpKLwAEGkIvAPhQZqbxaFXodTik3FypsNCa6wNAoCL0AoAPWbUFsUdkpPFItRcASiL0AoAPWbUFsQehFwDKRugFAB+yOvQ6HMYjN7MBQEmEXgDwIadTCgmRmjWz5vqeSi+hFwBKIvQCgA9ZuUavRHsDAJSH0AsAPmR16I2IMB6p9AJASYReAPAhp9O6lRskqVEjKTyc0AsAP0XoBQAfsrrSK7FBBQCUhdALAD4UCKGXrYgBoDRCLwD4kNXtDZJR6SX0AkBJhF4A8JH8fCk72/pKL+0NAFAaoRcAfMSzBbHVoZf2BgAojdALAD7iCb20NwBA4CH0AoCPWL0FsQftDQBQGqEXAHzEE3qtrvTS3gAApRF6AcBHnE5jY4jgYGvnERlp3FDnclk7DwAIJIReAPCRQFijVzJCr9stnTlj9UwAIHAQegHARwIl9DocxiMtDgBQjNALAD4SCBtTSEalV+JmNgC4EKEXAHyESi8ABC5CLwD4SKCEXk+ll9ALAMUIvQDgI4HS3uCp9NLeAADFTAu9Z8+e1dNPP63BgwerZcuWstvtSk5OrvL5WVlZGjt2rFq3bq2wsDANGDBA27dv9+OMAaDqzp6VcnMDo9IbHCwFBVHpBYALmRZ6MzMzNX36dO3atUs9e/aUzWar8rlut1u33Xab3n77bU2YMEEvv/yynE6n+vXrpx9++MGPswaAqgmU3dg82IoYAEpqbNaF2rZtq/T0dLVu3Vqpqam69tprq3zuihUr9Nlnn2nVqlW64447JEnx8fHq1q2bnn76aS1evNhf0waAKnE6jcdAaG+Q2IoYAH7KtEpvkyZN1LqGJZBVq1apTZs23sArSVFRURo+fLjeeecdnTt3zlfTBIAaCbRKL1sRA0BJdeJGtu3btysmJqbUeGxsrHJzc7Vnzx4LZgUAxTyhNyrK2nl40N4AACXVidB77NgxRUdHlxr3jB09etTsKQFACU6n1Ly51KSJ1TMx0N4AACXVidCbl5enoKCgUuPBwcFyu93Ky8uzYFYAUCxQ1uj1oL0BAEoy7Ua22ggJCVFBQUGp8fz8fNlsNoWEhFR4/sSJE+XwLFz5PwkJCUpISPDpPAE0XIGyRq8H7Q0AAlFKSopSUlJKjGWZ9LZUnQi90dHROnbsWKlxz1jbtm0rPH/mzJll9gQDgK8EWqWX9gYAgaisomNaWpp69erl92vXifaGnj17Ki0trdT41q1bFRoaqm7dulkwKwAoFmih19Pe4HZbPRMACAwBF3rT09O1e/duFRUVeceGDRum48ePa/Xq1d6xzMxMrVy5UnFxcWoSKHeOAGiwArG94dw5iVseAMBganvDG2+8odOnT+vIkSOSpLVr1+rw4cOSpAkTJig8PFyTJ09WcnKyDhw4oA4dOkgyQu+sWbM0ZswY7dixQ1FRUUpMTJTL5dLUqVPN/BYAoBS3O/AqvZGRxmNWlhQaau1cACAQmBp6X3nlFR06dEiSZLPZtGbNGq1Zs0aSNGrUKIWHh8tms8luL1mAttvtWr9+vR5//HHNnj1beXl5io2NVXJysrp27WrmtwAApWRnS4WFgRV6Pffunj4tlbHiIwA0OKaG3v3791d6TFJSkpKSkkqNOxwOzZ8/X/Pnz/fH1ACgxgJtC2KpuNLLCg4AYAi4nl4AqGsCbQtiqWR7AwCA0AsAtRaIoffC9gYAAKEXAGrN6ZRsNqlFC6tnUiwsTLLbqfQCgAehFwBqKSNDioqSGjWyeibFbDa2IgaACxF6AaCWAm25Mg+2IgaAYoReAKilQNuYwoOtiAGgGKEXAGopUCu9tDcAQDFCLwDUUqCGXtobAKAYoRcAaon2BgAIfIReAKgFl8sIvYFY6aW9AQCKEXoBoBZOnZKKigIz9NLeAADFCL0AUAtOp/FIewMABDZCLwDUQiBuQezhcEhnz0rnzlk9EwCwHqEXAGohkENvZKTxSLUXAAi9AFArTqfUuHFxwAwkhF4AKEboBYBayMgw+nltNqtnUprDYTxyMxsAEHoBoFYCdWMKqbjSS+gFAEIvANRKoG5MIdHeAAAXIvQCQC0EcqU3IsJ4pNILAIReAKiVQA69jRtLYWGEXgCQCL0AUCuB3N4gsUEFAHgQegGghs6fl06cCNxKr2Ss4EClFwAIvQBQYydOSG53YIfeyEhCLwBIhF4AqDGn03gM5PYGh4P2BgCQCL0AUGOBvAWxB5VeADAQegGghjyV3kAPvVR6AYDQCwA1lpEhBQUZy4IFKm5kAwADoRcAasizRq/NZvVMykd7AwAYCL0AUENOZ2C3NkhG6M3Ollwuq2cCANYi9AJADWVkBPbKDZLR3uBySTk5Vs8EAKxF6AWAGgrkLYg9IiONR1ocADR0hF4AqKFA34JYKg69rOAAoKEj9AJADdWFSq/DYTxS6QXQ0BF6AaAGCguNIBnooZf2BgAwEHoBoAYyM41H2hsAoG4g9AJADdSFLYglKThYatqUSi8AEHoBoAbqSuiV2KACACRCLwDUiNNpPAZ6e4NkhF7aGwA0dIReAKiBjAypWTMpNNTqmVTO4aDSCwCmhd7CwkL96U9/Urt27RQaGqrrr79eH3zwQaXn/eUvf5Hdbi/1EVoX/qUBUG/VheXKPGhvAACpsVkXuueee7R69WpNnDhRXbp00YIFC3Tbbbdp8+bN6t27d4Xn2mw2zZ07V82aNfOONWrUyN9TBoBy1YWNKTwIvQBgUuj94osvtGzZMs2YMUMTJ06UJI0aNUqXX365Jk2apI8//rjS1xg6dKhatGjh76kCQJXUpUqvwyEdOGD1LADAWqa0N6xcuVKNGzfWAw884B0LCgrSfffdp88++0xHjhyp9DVcLpfOnDnjz2kCQJXVpdBLpRcATAq9X331lbp166awsLAS47Gxsd7nK+J2u/Xzn/9cDodD4eHhGjVqlDI86wUBgAXqUnuDw8HqDQBgSnvDsWPHFB0dXWo8OjpabrdbR48eLffc5s2b66GHHtINN9ygoKAgffTRR3r99df15Zdfatu2baWCNACYgUovANQtpoTevLw8BQUFlRoPDg72Pl+eCRMmlPj6jjvu0LXXXqu77rpLiYmJmjRpkm8nCwCVyMuTcnLqVugtLJTy840d2gCgITKlvSEkJEQFBQWlxvPz873PV0dCQoLatGlTpSXPAMDX6tLGFJLR3iBR7QXQsJlS6Y2Oji6zheHYsWOSpLZt21b7Ndu3b6+TJ09W6diJEyfK4fmr/z8JCQlKSEio9nUBoC5tQSwZlV7JCL1t2lg7FwANW0pKilJSUkqMZZl004Epobdnz57avHmzcnJySvTgbt26VTabTT179qz2ax44cEAxMTFVOnbmzJlVPhYAKlNXQy83swGwWllFx7S0NPXq1cvv1zalvWHYsGE6f/685s+f7x0rLCzUggULdP3116tdu3aSpMOHD2v37t0lzs3MzCz1eomJiXI6nRo8eLB/Jw4AZfC0N0RFWTuPqqK9AQBMqvTGxsYqPj5eTzzxhI4fP+7dke3gwYNKSkryHjdq1Cht2bJFLpfLO9axY0f99re/1RVXXKHg4GB99NFHWrZsmWJiYjR27Fgzpg8AJXz/vREky7g/NyBd2N4AAA2VadsQL1q0SE899ZQWL16sU6dO6corr9S7776rPn36eI+x2Wyy20sWn0eOHKlPP/1Uq1evVn5+vjp27KjJkyfrySef9K7+AABmef116dlnpfvus3omVRcWJtnttDcAaNhMC71NmzbViy++qBdffLHcYzZt2lRqbN68ef6cFgBUicslTZ4svfyy9OijxmNdYbdLERFUegE0bKaFXgCoqwoKpNGjpWXLpFmzpIcftnpG1ccGFQAaOkIvAFTg1Cnp17+WvvhCWrFCGjrU6hnVTGQk7Q0AGjZCLwCU4+BBafBg6fhxaeNGqXdvq2dUcw4HlV4ADZspS5YBQF2zfbt0/fXG1r2fflq3A69EewMAEHoB4Cfef1/q21e66CLps8+kSy6xeka1R3sDgIaO0AsAF/j736Xbb5f69ZM2b5Z+9jOrZ+QbtDcAaOgIvQAgye2Wpk411t+9/35pzRqpWTOrZ+U7tDcAaOi4kQ1Ag3funDRunJSUJD33nLEer81m9ax8i/YGAA0doRdAg3bmjBQfL/3nP9KiRdLIkVbPyD8cDiknRzp/XmrMX34ADRB/+gA0WEePGv27+/ZJ//qXNGCA1TPyn8hI4zErS2rZ0tq5AIAVCL0AGqQdO6TbbpOKiqSPP5auuMLqGfmXw2E8EnoBNFTcyAagwdm8WerTxwiCW7fW/8ArFVd6uZkNQENF6AXQoLz9tjRwoHTNNdJHHxlr8TYEF7Y3AEBDROgF0CC43dLLL0sJCdJvfyu9917xW/4Nged7pdILoKEi9AKo94qKpIcekiZNkv78Z2nhQqlpU6tnZS5CL4CGjhvZANRrubnSnXdK//ynNG+eNHas1TOyRpMmxmYbtDcAaKgIvQDqLadT+r//k779VnrnHWN5soaMrYgBNGSEXgD10vffS4MHS9nZ0ocfGjeuNXRsRQygIaOnF0C9s3WrdMMNkt0uffYZgdeDrYgBNGSEXgD1yjvvGAlXya0AACAASURBVDurXXKJ9Omn0s9/bvWMAgftDQAaMkIvgDrP6ZTefNNoZ/jNb4yd1jZsYOexn6K9AUBDRugFUCcdOSK9/rrUv7/Upo00bpyUlye98Ya0fLkUEmL1DAMP7Q0AGjJuZANQZ+zfL61eLa1aZfTqNm4s3XKLNHeu9KtfSa1bWz3DwEZ7A4CGjNALIKDt2mWE3FWrpO3bpaAgadAgKTlZGjJEat7c6hnWHbQ3AGjICL0AAorbLX39dXHQ3bnT2FTh9tulyZONft2wMKtnWTd52hvcbslms3o2AGAuQi8Ay7lc0hdfGCF39Wpp3z4joMXFSS+8IP3iF/To+oLDYfysc3Kk8HCrZwMA5iL0ArBEUZH00UdGyF292rgxrVUr6Y47pKFDpX79pKZNrZ5l/RIZaTyePk3oBdDwEHoBmKawUNq0yajo/uMfxlJj7doZy4wNHSrdeKPUqJHVs6y/PKE3K0tq397auQCA2Qi9APzC7ZZ+/FHascP4SEuT3nvPqDL+/OfS6NFG0L32WmPnNPifw2E8cjMbgIaI0AugVtxu6ejR4nDr+fjuOyk72zgmNFTq0UN66CGjqnvVVdxIZYUL2xsAoKEh9AKoErdbSk8vHW537Cje8CA4WOreXbrsMmPd3MsuMz46daKaGwg8lV42qADQEBF6AZTgdksZGWWH21OnjGOCgorD7ZAhxmOPHtLFF9OTG8hCQqQmTaj0AmiYCL1AA5WdbbQlHDlibABxYbg9ccI4pmlT6dJLjVA7aFBx5fbnPyfc1kU2G1sRA2i4CL1APVNQYIRZz8eRI2V/npNTfE6TJtIllxiB9tZbi8Nt587GVr+oP9iKGEBDxT9nQB1RVGS0HZQXYj2fe6q0HiEhxrJgbdsaH716FX/uGe/QwQi+qP/YihhAQ0XoBSzgdku5udLJk0af7MmTxR8Xfn38eHGgTU83dtPyaNRIio4uDq59+5YMt57PHQ5WSkAx2hsANFSEXqAWioqMAFFeaK3o68LCsl8zMlJq0UJq3lxq3dpY3mvw4NKBtlUrVkRA9dHeAKChIvSiwXG5jH7WM2eKP376dXljnnFP0M3KMqq2P9WkiRFcL/zo3NnYiMHzdfPmJZ9v3twIvNwgBn+KjJQOH7Z6FgBgPkIvAo7bLZ07J+XlGS0AublV//zs2coD69mzFV/fbpfCw42PsLDiz8PDpY4djceIiNKB9cKvQ0NpKUBgor0BQENlWugtLCzUU089pcWLF+vUqVO68sor9cwzz+jWW2+t9NyjR4/qkUce0YYNG+RyudS/f3/NnDlTF///9u49PKZr4R/4d09ukwsZEiFRVBBxj0ujSog6L+WH3iIOde+hnHq9TWmK6tPWoaXHpVW0tI60pS6lqq4tdUg4qEjQqiohEaKOyIVkcp/1+2N3JjNmJpkkM5Nk5vt5nv3MzNpr7Vnb6k6/2Vl779at7dBz56XRyHcCKCwsf9V/X9UyS8Kr9rWszLI+SpIcML285Au2vLwMQ2qLFoafzYVZ/TJPTwZWqj1pOWk4lnYMx1KPIf5GPDxcPDCq4yiM7jwaof6hNd4+pzcQkbOyW+idOHEivvnmG8TExKBt27aIi4vDsGHDcPToUTzxxBNm2+Xn5yMyMhIPHjzAggUL4OrqihUrViAyMhLnzp1Do0aN7LULVlNWJp/JtGQpKpLnftpi0W774XCqfS0pqd7+ubvLT+ZSKuWHGGhf9cNpgwZA06blQVU/tFr63stL/i4GVKqvhBC4nnMdx1KPyUE37RhSc1IBAF0CumBImyG4X3Qfy08ux9vH3ka3pt0wutNojO48GsGNgqv1nbx7AxE5K7uE3p9++gnbtm3D8uXLERMTAwAYP348OnfujNjYWBw/ftxs2zVr1iAlJQVnzpxBjx49AABPPfUUOnfujOXLl2PRokWVfv+ePUByMlBaKi8lJeXvKyqrqG5NFlNzQKvLw0MOfqYWc+u8vY3r6QfUh8OqqVdz69zdeXEVkTlCCFzJumIQcm/evwkJEro164an2z+NAa0GIKJVBPy9/HXtCksLceDKAWy7uA2LEhZh/pH5eCzoMYzuNBrRnaLRwreFxX1Qqcp/sVUqbbGXRER1kySENSOYabGxsfjggw+QlZUFHx8fXfmSJUvwxhtv4MaNG2jevLnJtr1794YkSTh16pRB+VNPPYVr167h999/N/u9SUlJ6NmzJ4CzAHrAxUW+0b7+4uZmXGbJejc32y+VBVgXF57lJKrLhBC4lHlJF3Lj0+JxO+82FJICPQJ7YECrARjQagD6teyHRp6W/dUqvzgf+67sw9ZftmL/lf0oKivCEy2ewOhOozGq4ygENgissP133wFPPy3fAq9pU2vsJRFRzWjz2tmzZ3UnOG3BLmd6z507h5CQEIPACwDh4eG69aZCrxACFy5cwIsvvmi0Ljw8HIcOHUJ+fj68vb0r/P7Tp+Wr5hkQiciWNEKDi/+9qDuLeyz1GO6q78JFckGvoF6Y0G0CBrQagL4t+6KhR8NqfYe3uzeiO0UjulM07hfdx3eXv8PWX7Zizg9z8MrBVzDg0QEY3Wk0nu/wPJp4NzFqr1LJrzk5DL1E5FzsEnpv376NwEDjsw+BgYEQQiAjI8Nku6ysLBQVFZltC8gXubVr167C73d1ZeAlIusr05Thwp0LupAbnxaPrIIsuCncEN48HFN7TMWARwfgiRZPwMfdp/INVlFDj4YY13UcxnUdh+yCbOz6bRe2XdyGmftnYub+mRgUPAijO43Gs6HP6s4ka0Mv7+BARM7GLqG3oKAAHh4eRuXKPyeUFRQUmG0HoFptiaj+EEJAQEAjNNAIDYTQe69XXtE6/fISTQlKykpQoilBqaa00vclZX9+ruS9frubD24iIS0BuUW58HDxwOOPPI6Zj83EgEcH4PFHHoeXm5dd/w0beTbClO5TMKX7FNzNv4udl3Zi28Vt+Nt3f8P0vdMxpO0QjO40GmGeIwE05MVsROR07BJ6PT09UVRUZFReWFioW2+uHYBqtdU354c5UF1RVVhHwPKpzZVNg7ZkW/bYhiXbqWgb5tpaq42pupbWs6Tuw+sf3k5F6y1ta6qNue1oy6taVpXP1a0rIAzq6Jc9/FrTOqYCa13hIrnAzcUNrgpXuCncKnzv5+mH2X1mY8CjAxDePBxK17pzVVgT7yaY3ms6pveajowHGdjx6w5su7gN43eNh4eLBzB6GPbfGI2+xcPh7V7x9DB70v/vQyM0KBNl5e81ZVVaV9F/n/qv2l+YLKlr7lXb95q8B8qPGVPvH66n/29mqk5N2j1c19x2Ta2ratuqtq/uNszVq+9tLGlrzW1UdZuWunX5llW2Uxm7hN7AwECTUxhu374NAAgKCjLZrnHjxvDw8NDVq0pbfec+Pwc3LzeDsqA+QQh6ovK25kioeL6EZMF8ioq2IUGqfBtS5f2wpC8V9sNMW2u0MVWvsjqmvreyOrbYhn4d/braeqbKDNpUsawqn6tb9+H3Fb1qt1PVOgpJAYWkgITy9wpJYbCupuslSHBzcas0tLop/vz853sXhQsUkuPdeiSoQRBm9Z6FWb1n4UbuDWz/5Wu8dmMrPrz1V3y6zAsjQkZgdCf5FmiFpYUoKiuSX0vlV/0yc+WVri8tr1eqKTUMqHqB1Vr/A6XaU9nPvofLTa03KLewrrXr1XSblmy/KtuwZDv22kZVt/mwwuRCFJ03PJkpCuxz7Nsl9IaFheHo0aPIy8szuJjt1KlTkCQJYWFhJttJkoQuXbogMTHRaN3p06cRHBxc6UVsAHB482GbXg1IRFQftPRtiTl9Z2PR/5uN6fNS4PvEdmy7uA3PbX+u0rYeLh5QuiqhdFXCw1Xv/Z/l2rIGHg3g7+Vvcr2HiwdcFa66XzC0i4tk+FkhKSqtU9l6U7+IaX8psuQXu6rUNfWLpbn32nrVaWPqc0V1atLOXN2Hy4msofxuW7Zll9AbFRWFZcuWYf369Xj11VcByE9oi4uLw+OPP667c0N6ejrUajXat29v0HbevHlISkrSBdfLly/jyJEjiI2NtUf3iYgcikoFuNxvg3kR8zAvYh6uZl1FdkG2UajVBlZ3F3cGHSKq9+wSesPDwzFq1CjMmzcPd+7c0T2RLS0tDRs3btTVGz9+POLj46HRlM/x+/vf/45PP/0Uw4YNw5w5c+Dq6oqVK1ciMDBQF6CJiMhyvr6Gd29o27ht7XWGiMhO7PYY4i+//BJvvvkmNm3ahOzsbHTt2hX79u1D3759dXUkSYLiocd5+fj44NixY4iJicHixYuh0WgwcOBArFixAn5+fvbqPhGRw+CjiIkckxDlT38tLq78vanP+k+jffjV0rLK6usvZWXAgwf2+fexW+h1d3fH0qVLsXTpUrN1/v3vf5ssDwoKwrZt22zVNSIip8LQS1Q9ZWXyI7z1l+Ji+dHetn61JMCWllp3fxUKw6fT6j+l1tR7c+uVSsDHRy5zcTF+2m1mJpCaat2+m2K30EtERHWDry9w/Xpt94KoZoqLAbUayM8vf9W+V6uBggLjgKpdKlpX0fqSkur3191dXjw8LHtt0ADw85M/u7nJZfqvlr6vSj3tog2jCjvd0CYpCfjqK9t/D0MvEZGT4ZlespeSEvlP17m5wP378qIfTk29VrRO/9XSs5oKBeDpKZ9tfHjRL2/YEAgIsKyu/mJJiHVz45Nh6wKGXiIiJ6NS8THEVLGSkvKQqh9YKyozVV7ZQ1MlCfD2lhcvL+NXPz+gZUvT6yp71YZUV1cGTpIx9BIRORlfX57pdRalpUBWljxnsrIlO7s8rP750FOTFAr5v6GGDQ2XJk2Atm2Ny7WLr6/8J3sfn/Jg6uHBQEr2w9BLRORkVCr5T85lZfJFJVQ/aDTyLyuWBFj9IPswhQJo3Bjw9y9funaVy/QDqrnw6uXFoEr1E0MvEZGTUank1/v3gUaNarcvJCssBNLTgRs35CUtrfz19m05wN67Jwffh6lUhgG2fXugb1/DMv1FpeIvO+ScGHqJiJyMr6/8mpPD0GsPQshTDPTD7MPB9s4dwzbNmgGtWsnzWbt0kacOmAqwjRvLF0kRUeUYeomInIz2TC/n9VpHaSlw65b5QHvjhnzHAS0PDznMtmoFdO4MDBtWHnBbtQIeeUSuQ0TWxdBLRORktKGXd3CompIS4NdfgcREefn5ZznQ3rplOO3Az688xA4eLL9qA23LlvJtsTgnlsj+GHqJiJyM/vQGMq20FPjtt/KAm5gInDsnPxlLoQA6dAC6dQMiI8vDrHbx9q7t3hORKQy9REROhqHXUFkZ8Pvv5eH27FkgOVl+AIIkyReG9eoFjBkjv4aFMdgS1UcMvURETsbdXb7tlDNOb9BogKtX5WCrDblJSUBenry+XTs52D73HNCzJ9C9u3ybLiKq/xh6iYickDM8oEII4Pp1wykKZ8/Kt2oDgNat5YD75pvya48e5fOdicjxMPQSETkhlcoxQ++lS8CmTcBPP8kBV/twhpYt5WA7d255wPXzq92+EpF9MfQSETkhlcpxpjeUlQF79gCrVwM//iiH2X79gFdflaco9Owp3zGBiJwbQy8RkRNyhOkNmZnAhg3A2rXyrcP69AE2bwaiouR5y0RE+hh6iYickEpl/BSw+iIpCfjoI2DLFvnzmDHAzJnyGV0iInMYeomInJCvr3ybrvqiuBjYsUOewnDypDxH9513gBdflB/HS0RUGYZeIiInVF8uZMvIANatk5c7d4BBg4Bdu4ARIwAXl9ruHRHVJwy9REROqC6HXiGA48fls7rffAN4eAATJwIvvwx07FjbvSOi+oqhl4jICfn6yndvEEJ+6lhdoFYDX30lh93z54GQEGDFCmDChPKnyBERVRdDLxGRE1Kp5Ft95ecDPj6125dr1+Q7MGzYIAfx4cOBf/5TnsqgUNRu34jIcTD0EhE5Ie2Tx3Jzayf0ajTAoUPyXRj275f7M3UqMGOG/KQ0IiJrY+glInJC2ukCOTlA8+b2+97cXCAuDlizBrhyBejWDfj0U/m2Y15e9usHETkfhl4iIiekPdNrr4vZysqAOXPkgFtUBDz/PPCvfwF9+9adOcVE5NgYeomInJD+9AZ7WLoUWLUKeOMNYPp0ICjIPt9LRKTF0EtE5IT0pzfY2tmzwFtvAa+/DixcaPvvIyIyhdfFEhE5IS8vwNXV9qFXrQbGjQO6dgXeftu230VEVBGe6SUickKSJE9xsPX0htdfB1JTgaQkwN3dtt9FRFQRhl4iIifl62vbM73ffy8/aGLVKqBDB9t9DxGRJTi9gYjISdnyUcT37gGTJwODB8uPDyYiqm0MvURETspW0xuEAF56Sb412caNfKoaEdUNnN5AROSkbDW94csvgZ07ga+/5q3JiKju4O/fREROyhbTG1JTgZkzgQkTgKgo626biKgmGHqJiJyUtac3lJXJYbdxY/niNSKiuoTTG4iInJS1pzcsWwYcPw4cPVr+8AsiorqCZ3qJiJyUNac3JCcDb74JvPYa0L+/dbZJRGRNDL1ERE7K1xcoLJTvslATBQXyU9c6duRjhomo7uL0BiIiJ6VSya+5uUBAQPW3M28ekJICnD0LeHhYp29ERNbGM71ERE5KG3prMsXh0CHgww+BJUuATp2s0y8iIluwW+jNzc3FtGnTEBAQAB8fHzz55JNITk62qO3kyZOhUCiMlo4dO9q410REjkt7sVl17+CQlQVMmgQMGgTMmmW1bhER2YRdpjcIITBs2DD8/PPPiI2NhZ+fH9auXYvIyEgkJSWhTZs2lW5DqVRiw4YNEELoynx5eTARUbXV5EyvEMCMGYBaDcTF8alrRFT32SX0fv311zh58iR27tyJZ599FgAwatQohISE4K233sKmTZsq3YarqyvGjBlj664SETkN/Tm9VbV5M7B9O7B1K/DII9btFxGRLdjld/OdO3eiWbNmusALAP7+/oiOjsbu3btRUlJi0XY0Gg0ePHhgq24SETmVBg3k16qe6b1xA3j5ZeCFF4DRo63fLyIiW7BL6E1OTkaPHj2MysPDw6FWq/H7779Xug21Wo2GDRvC19cXfn5+mDlzJvLz823RXSIip+DiAjRsWLXQq9EAEyfK84FXr7Zd34iIrM0u0xtu376NAQMGGJUHBgYCADIyMtCpgst+g4KCEBsbix49ekCj0eDgwYNYu3YtLly4gKNHj0LByWRERNVS1UcRr1gBHDsG/Phj+fQIIqL6oMqhVwiB4uJii+p6/HnDxoKCAt17fUqlEkIIFBQUVLidxYsXG3yOjo5Gu3btsGDBAuzYsQPR0dEW9p6IiPRV5VHEFy4Ab7wBvPoqMHCgbftFRGRtVQ698fHxGGjBTztJknDp0iWEhITA09MTRSYe+VNYWAhJkuDp6VnVbiAmJgZvvvkmDh8+XGnojYmJMbrTw5gxY3hhHBE5PUsfRVxYKM/hbd8eeOg8BBGRxbZs2YItW7YYlOVW976JVVTl0BsaGoq4uDiL6mqnLwQGBuL27dtG67VlQUFBVe0GlEol/Pz8kJWVVWndlStXmpxTTETk7Cyd3vDGG8DvvwOJiXzqGhFVn6mTjklJSejZs6fNv7vKobdp06aYMGFCldqEhYXh+PHjRuWnTp2Cl5cXQkJCqtoN5OXlITMzE02aNKlyWyIikvn6AmlpFdc5ckSey7tsGdCli336RURkbXa5AiwqKgp37tzBN998oyvLzMzEjh07MHLkSLi5uenKr127hmvXruk+FxUVIS8vz2ibCxcuBAAMHTrUhj0nInJslU1vyM6W79YwcCAQE2O/fhERWZtd7t4QFRWFDz74AJMnT8bFixfh7++PtWvXQqPR4O233zao++STT0KhUOiC7x9//IHu3btjzJgxCA0NBQAcPHgQBw4cwLBhwzBy5Eh77AIRkUOqbHrDyy8DDx4An3/Op64RUf1ml9CrUChw4MABvPbaa/joo49QUFCA8PBwfPHFF2jXrp1BXUmSIEmS7rNKpcKIESNw+PBhfPHFFygrK0Pbtm2xZMkSzJ492x7dJyJyWBXdvWHLFnnZvBlo0cK+/SIisja7hF4A8PX1xfr167F+/foK612/ft2o3eeff27LrhEROS2VCrh/Hygrkx9WoZWeDsyYAfz1r8DYsbXXPyIia+Efq4iInJj2ARP6T3jXaIBJkwAfH2Dt2lrpFhGR1dntTC8REdU92luY5+SUB+APP5Tv2HD4MNCoUe31jYjImniml4jIiWmDrnZe7y+/APPmAa+8AgwaVHv9IiKyNoZeIiInpj3Tm5sLFBXJT11r2xZ4773a7RcRkbVxegMRkRPTP9P75pvApUvAmTOAUlm7/SIisjaGXiIiJ6Y907t7NxAXByxZAnTrVqtdIiKyCU5vICJyYh4e8lndjRuBiAiAtz8nIkfFM71ERE5OpQLUauCLLwzv1UtE5EgYeomInNz06UDPnkCrVrXdEyIi22HoJSJycm+9Vds9ICKyPc7pJSIiIiKHx9BLRERERA6PoZeIiIiIHB5DLxERERE5PIZeIiIiInJ4DL1ERERE5PAYeomIiIjI4TH0EhEREZHDY+glIiIiIofH0EtEREREDo+hl4iIiIgcHkMvERERETk8hl4iIiIicngMvURERETk8Bh6iYiIiMjhMfQSERERkcNj6CUiIiIih8fQS0REREQOj6GXiIiIiBweQy8REREROTyGXiIiIiJyeAy9REREROTwGHqJiIiIyOEx9BIRERGRw2PoJSIiIiKHx9BLRERERA6PoZeIiIiIHB5DLxERERE5PIZeIiIiInJ4dgm9f/zxB+bOnYsnn3wSDRs2hEKhQHx8fJW2kZGRgejoaDRq1Ai+vr545plncP36dRv1mIiIiIgciV1C7+XLl/HPf/4TGRkZ6Nq1KyRJqlL7/Px8REZGIiEhAQsWLMDChQuRnJyMyMhIZGdn26jXREREROQo7BJ6e/XqhXv37uG3335DTExMlduvWbMGKSkp2LdvH2bPno3/+7//ww8//ICMjAwsX77cBj0me9iyZUttd4HM4NjUbRyfuotjU3dxbMguodfb2xsqlara7Xfu3InHHnsMPXr00JW1b98egwYNwvbt263RRaoF/AFUd3Fs6jaOT93Fsam7ODZU5y9kE0LgwoUL6NWrl9G68PBwpKSkID8/vxZ6RkRERET1RZ0PvVlZWSgqKkJgYKDROm1ZRkaGvbtFRERERPWIa1UbCCFQXFxsUV0PD48qd+hhBQUFZrelVCoN6hARERERmVLl0BsfH4+BAwdWWk+SJFy6dAkhISHV6piWp6cnAKCoqMhoXWFhoUGdh2nD8KVLl2rUB7KN3NxcJCUl1XY3yASOTd3G8am7ODZ1F8em7tLmNFufxKxy6A0NDUVcXJxFdU1NSaiqxo0bw8PDA7dv3zZapy0LCgoy2TY1NRUAMG7cuBr3g2yjZ8+etd0FMoNjU7dxfOoujk3dxbGp21JTU9G3b1+bbb/Kobdp06aYMGGCLfpikiRJ6NKlCxITE43WnT59GsHBwfD29jbZdsiQIdi0aRMeffRRs2eDiYiIiKj2FBQUIDU1FUOGDLHp91Q59Npaeno61Go12rdvryuLiorCvHnzkJSUpLtt2eXLl3HkyBHExsaa3Za/vz9eeOEFm/eZiIiIiKrPlmd4tSQhhLD5twBYtGgRJEnCxYsXsXXrVkyZMgWtW7cGALzxxhu6epGRkYiPj4dGo9GV5eXloXv37njw4AHmzJkDV1dXrFy5EkIIJCcnw8/Pzx67QERERET1lN1Cr0KhMPn4YUmSUFpaqvs8cOBAJCQkGJQB8m3JYmJi8MMPP0Cj0WDgwIFYsWIFgoODbd53IiIiIqrf7BZ6iYiIiIhqS51/OAURERERUU3Vi9D766+/Ijo6Gm3atIG3tzeaNGmCAQMGYO/evbo6QgjExcXh6aefRsuWLeHj44MuXbpg8eLFJu/xCwAbNmxAx44d4enpiZCQEKxevdpeu+RQbDE+CoXC5PL+++/bc9fqPUvGBgA+++wzREZGolmzZlAqlQgODsaUKVOQlpZmcrs8dmrOFmPD48Z6LB0ffaWlpejYsSMUCgVWrFhhtF4Igffffx/BwcHw9PREt27dsHXrVlvuhkOy9tikpaWZPG5cXFywfft2W++OQ7F0bCZPnmzy37xjx45G27TmcVPn7t5gSlpaGvLy8jBp0iQEBQVBrVZj586dGDlyJNavX4+//e1vUKvVmDJlCvr06YMZM2YgICAAJ0+exFtvvYUjR47gxx9/NNjmunXrMGPGDIwaNQqzZ89GQkICZs2ahYKCArz22mu1tKf1ky3GBwAGDx5sdHu87t2722u3HIIlYwMAycnJCA4OxtNPP41GjRrh+vXrWL9+Pfbt24fz58+jWbNmum3y2LEOW4wNwOPGWiwdH32rVq1Cenq6yetXAGD+/PlYunQpXnrpJfTq1Qu7d+/G2LFjoVAoEB0dbetdchi2GBsAGDt2LIYNG2ZQ1qdPH6v335FVZWyUSiU2bNgA/Vm2vr6+Rtu06nEj6imNRiPCwsJEhw4dhBBCFBcXi5MnTxrVW7hwoVAoFOLHH3/UlRUUFAh/f38xcuRIg7rjxo0TDRo0EDk5ObbtvBOoyfgIIYQkSeJ///d/7dJXZ/Pw2Jhz9uxZIUmSWLp0qa6Mx45t1WRshOBxY2sVjc+dO3eESqUSixYtEpIkieXLlxusv3XrlnB3dxezZs0yKO/fv79o2bKl0Gg0Nu27o6vJ2KSmpposJ+swNTaTJk0SDRo0qLSttY+bejG9wRRJktCiRQvk5OQAANzc3PD4448b1Xv22WchhDB4FPG///1vZGVl4e9//7tB3Zdffhl5eXnYt2+fbTvvBGoyPvoKCwvNTk+h6nl4bMxp1aoVABjU47FjWzUZG308bmyjovGZzl5nWAAADrRJREFUO3cuOnToYPbe8N9++y1KS0sxY8YMg/IZM2bg5s2bOHnypE367CxqMjb61Go1SkpKbNFFp1XR2Gg0Gjx48MBsW2sfN/Uq9KrVaty7dw/Xrl3DypUrceDAAfzlL3+psI32UcX+/v66suTkZADGjyPs2bMnFAqFbj1VjbXGRysuLg7e3t7w9PREp06dsGXLFpv02xlYOjZZWVm4e/cuEhMTMXnyZEiShEGDBunW89ixPmuNjRaPG+uyZHx++uknfPHFF/jggw/M/vn83Llz8Pb2RmhoqEF5eHi47p7zVDXWGhutd955Bz4+PlAqlQgPD8ehQ4ds2X2HZsnYqNVqNGzYEL6+vvDz88PMmTORn59vUMfqx02VzgvXsunTpwtJkoQkScLFxUVER0dX+ufUv/zlL0KlUonc3Fxd2cyZM4Wbm5vJ+gEBAWLs2LFW7bezsNb4CCFEv379xEcffST27Nkj1q1bJ7p27SokSRKffPKJLXfBYVk6NkqlUlevSZMmYvXq1QbreexYn7XGRggeN7ZgyfiEh4eLcePGCSHM/6l8+PDhom3btkbbV6vVQpIkMX/+fNvthIOy1tjcuHFDPPXUU2LdunVi7969YtWqVeLRRx8VLi4uYv/+/XbbH0dS2djMnz9fzJs3T3z99ddi27ZtYvLkyUKSJBERESHKysp09ax93NSLC9m0YmJiMGrUKGRkZGD79u0oKyur8E947777Lo4cOYKPP/4YDRs21JUXFBTA3d3dZBulUomCggKr990ZWGt8ACAhIcHg85QpU9CjRw/Mnz8fkyZNgoeHh032wVFZOjYHDx5EYWEhLl26hE2bNhn91s1jx/qsNTYAjxtbqGx8Nm7ciIsXL2LXrl0VbqegoMDkv79SqdStp6qx1ti0aNECBw4cMCgbN24cOnbsiNmzZ2Po0KE26b8jq2xsFi9ebFA/Ojoa7dq1w4IFC7Bjxw7dBWpWP26qn+Nr3+DBg0Xv3r1Nrtu6datQKBRi2rRpRut4tso+qjs+5qxbt04oFApx4sQJa3XRaVU0NlopKSnC09NTrFmzRlfGY8f2qjs25vC4sa7BgweL8PBwIYQQubm5olmzZuKdd97RreeZ3tpT3bExZ968eUKhUIhbt27ZpL/OxJKfawUFBcLFxUVMnTpVV2bt46Zezel9WFRUFM6cOYMrV64YlB86dAgTJ07EiBEj8PHHHxu1CwwMRFlZGTIzMw3KS0pKcO/ePQQFBdm0386iuuNjTosWLQDIcxupZsyNjb7g4GB0794dmzdv1pXx2LG96o6NOTxurCsqKgqJiYm4cuUKli1bhpKSEkRHRyMtLQ1paWlIT08HAGRnZyMtLU13UVRgYCD++OMPo+1pr2vgsVNz1R0bc3jsWI8lP9eUSiX8/PwM/r2tfdzU69CrPa2dm5urKzt9+jSee+45hIeHY9u2bVAojHcxLCwMQggkJiYalJ85cwYajQZhYWG27biTqO74mJOSkgIAaNKkiXU76oRMjY25evp1eOzYXnXHxhweN9alVqsByOOTnp6O7OxsdOzYEa1bt0br1q3Rv39/SJKExYsXIzg4WHdnmrCwMKjVavz2228G2zt16hQkSeKxYwXVHRtzeOxYjyU/1/Ly8pCZmWnw723146ZK54VryX//+1+jspKSEtGjRw/h7e0t8vPzhRBC/Prrr8Lf31907dq1wguoCgoKhJ+fn8l7jfr4+Ijs7Gzr7oCDs/b43L1716js/v37ok2bNiIgIECUlJRYr/MOzpKxKS0tNfnf/OnTp4Wrq6uYNGmSrozHjvVYe2x43FiXJeOTnJwsdu/ebbB8+umnQpIkMWXKFPHdd9+J+/fvCyGEuHnzpnB3dze6j3JERIRo0aIF79NbBdYeG1PHzs2bN0Xjxo1F9+7dbb4/jsSSsSksLBQPHjwwqvfaa68JhUIhdu/erSuz9nFTLy5ke+mll3D//n30798fzZs3xx9//IHNmzfj8uXLWLFiBby8vJCXl4chQ4YgJycHsbGxRo+8a9Omje4+sUqlEv/4xz8wc+ZMREdHY8iQIYiPj8dXX32Fd999FyqVqjZ2s96y9visWbMG3377LUaMGIGWLVsiIyMDGzduRHp6OjZt2gRX13rxn22dYMnY5ObmokWLFhg9ejQ6deoEb29vXLhwAXFxcWjUqBEWLFig2x6PHeux9tjwuLEuS8YnLCzM6EyT9vHQnTp1wogRI3TlzZs3xyuvvIJly5ahuLgYjz32GHbt2oUTJ07gq6++qvR2WlTO2mMTGxuLlJQUDBo0CEFBQbqnHqrVanz44Yd23bf6zpKxSUtLQ/fu3TFmzBjdrcgOHjyIAwcOYNiwYRg5cqRue1Y/bqoUkWvJtm3bxODBg0VgYKBwd3cXfn5+YvDgwWLv3r26OqmpqUKhUJhdJk+ebLTdzz77THTo0EEolUrRrl07sWrVKnvulsOw9vgcOnRIDBkyRAQFBQkPDw/RuHFjMXToUHH06NHa2L16zZKxKS4uFjExMSIsLEyoVCrh4eEhWrduLaZNmybS0tJMbpfHTs1Ze2x43FiXJeNjivZnnbmLpZYsWSJat24tlEql6NKli9iyZYstuu/QrD02W7duFZGRkaJp06bC3d1dBAQEiKioKJGcnGzL3XBIloxNTk6OmDBhgggJCRE+Pj7C09NTdOnSRSxdulSUlpaa3K61jhtJCL2HHhMREREROaB6fSEbEREREZElGHqJiIiIyOEx9BIRERGRw2PoJSIiIiKHx9BLRERERA6PoZeIiIiIHB5DLxERERE5PIZeIiIiInJ4DL1ERERE5PAYeomIiIjI4TH0EhEREZHDY+glIqolCQkJOHHiRG13g4jIKTD0EhHVgqtXr2Lv3r3o27dvbXcFc+fORX5+fm13g4jIphh6iYhsbMmSJZg1axaGDx+O+/fvAwDmz5+PBQsW6Oq8/vrraNiwIYYPH44JEyYgMjISCoUCERERmDBhAp599lmoVCpERUUBAP71r39h0KBBUCgUCAkJwZgxY3Dr1i3cvXsXY8aMQdOmTeHm5oYRI0bgk08+qbB/M2fORExMjO3+AYiI6gDX2u4AEZEjO3z4MD7//HN8/PHHGDNmDPLy8nDx4kUEBASgQYMGunrnz5/HtWvX4O/vDwDYsGEDEhIS8O2338LPzw+APB3iu+++AwBMmTIF7du3R//+/fHll1+id+/eum1t2bIFERERUKlU2LNnT6V9fOSRRxASEoJvv/0WzzzzjDV3n4iozuCZXiIiG9q5cyciIiIQGRmJ27dvIygoCGvXrsX48eN1dZKSkjB+/Hhd4AXkgBsaGqoLvADQtGlTtG/fXvc5Pj4e3t7eeOyxxwy+U61W46effkL//v0t7ufUqVOxcuXK6uwiEVG9wNBLRGRD//nPf9CnTx+DsuPHj6Nnz566z8eOHcPzzz9vUCchIQEREREGZXfu3EGHDh0MttOvXz8oFIY/yk+cOIHS0lKj9hXx9fWFSqXCL7/8YnEbIqL6hKGXiMgGNm/ejL/+9a/4+eefsWfPHkycOBG5ubm4evUqmjRpAlfX8tllMTExUCqVus8ZGRm4fv26UWiNiIjQXfgmhMB//vMfREZGGn33kSNHoFQq0atXL4Py69evo2vXrggNDUVKSgpyc3OxdOlS3fo+ffrgwIED1th9IqI6h3N6iYhs4IUXXkDnzp2xa9cubN++XRdyz507h4CAgArbxsfHQ5KkCs/UXrhwAbm5uUhISMBvv/2mKxdCYP/+/ejdu7dBsAbkC+rmzp0LjUaDNWvW4OLFi/jmm29067t164ZNmzZVZ3eJiOo8hl4iIhs5f/48QkNDDcLn3bt34evrW2G7EydO4JFHHkHLli3N1klISIBSqcSuXbsMtl9cXAxfX1+Tgfn999/XffetW7cwbdo0eHt769Y3btwYKSkpFu8fEVF9wukNREQ2cv78eYSFhRmUaTSaStuZms/7MO284IfP5p45cwZFRUXo16+fURtt4F2yZAmGDx+O0NBQg/WNGjVCbm5upf0jIqqPGHqJiGzkwoUL6Natm0GZv78/cnJyzLbJzc3FL7/8UmnoTUhIwBNPPGFUfvLkSbi6uppcBwALFy7EqFGj0KlTJ6N1ZWVlcHd3r/B7iYjqK4ZeIiIbOXfunNGZ3sDAQNy7d89smxMnTkAIUeHtxq5du4bbt2+bfJrbiRMn0K1bN4NpC1qLFi3ChAkT0KZNGwDAnj17cPXqVd367OxsNGnSpNL9IiKqjzinl4jIBtLT05GVlWV0pjc0NBR37tyBRqMxutUYABw9ehSNGjUyuDXZw44dOwZJkoxuhaa9o8PYsWON2qxatQppaWlYvXo1evXqhZs3b+LUqVPYsWOHrk5mZiaCgoKquqtERPUCz/QSEdlAUlISOnfubPBwCQCQJAm9e/fG+fPndWXp6el44YUX8Mwzz2Dt2rVQq9V4/vnnMWnSJIM5wElJSYiOjtY9vnjatGnYt28fAGDOnDmIjIxEZmYmDhw4gJdeeknX7vr16/D29sann36K/v374+WXX8b333+Pzz77zKBviYmJRrc5IyJyFJIQQtR2J4iIHMVbb72FoUOHYt++fSgrK8O7775rVOf7779HfHw8Fi9eXAs9NO9//ud/8Mknn+imPxARORKe6SUispLMzEy89957yMrKwokTJzB16lST9YYMGYILFy6gsLDQzj0079atWxBCMPASkcPimV4iIiuaMWMGGjdujODgYLz44otm6yUmJmLnzp1477337Ng78+bOnYuhQ4diwIABtd0VIiKbYOglIqolO3bsgJ+fHwYOHFir/Th//jw+//xzrFixolb7QURkSwy9RERO7r333kNsbCxcXFxquytERDbD0EtEREREDo8XshERERGRw2PoJSIiIiKHx9BLRERERA6PoZeIiIiIHB5DLxERERE5PIZeIiIiInJ4DL1ERERE5PAYeomIiIjI4TH0EhEREZHDY+glIiIiIofH0EtEREREDu//Ay+tYgT/gFsRAAAAAElFTkSuQmCC",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7faffd329b90>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7fb000000e50>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "E_source_f = fft(E_source_fit)\n",
    "#E_source_f = fftshift(E_source_fit) # Shift the data as before.\n",
    "figure;\n",
    "plot(freq,real(E_source_f))\n",
    "plot(freq,imag(E_source_f))\n",
    "title(\"\\$E_{source}(f)/E_0\\$\")\n",
    "xlabel(L\"f (THz)\")\n",
    "xlim([320,350])\n",
    "#ylim([-1.2e4,1.2e4])\n",
    "#ylabel(L\"$E_y$ (arbitrary units)\")\n",
    "legend([\"Real\", \"Imag\"],fontsize=12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Again, to convert the unit of frequency to the normal scale becomes tricky. I need to think about it more carefully. \n",
    "\n",
    "Also, I didn't use the `fftshift()` function for this transformation, in which I should. The signal in MEEP is a complex function and is different from many other software. \n",
    "\n",
    "To be continued..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Green's function and decay rates\n",
    "We can calculate the Green's function in the frequency domain using the detected field and signal components obtained earlier. Only the imaginary part is related to us, and the Green's function we can obtain is normalized to the dipole excited in free space."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7faffd147f90>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7faffd008dd0>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Gxx=ex_f./(E_source_f)\n",
    "Gyx=ey_f./(E_source_f)\n",
    "Gzx=ez_f./(E_source_f)\n",
    "\n",
    "figure(figsize=(9,3))\n",
    "subplot(1,3,1)\n",
    "plot(freq,real(Gxx))\n",
    "plot(freq,imag(Gxx))\n",
    "plot([ω/2./pi,ω/2./pi], [-2., 2.],linestyle=\":\")\n",
    "title(\"\\$G_{xx}(f)/G_0\\$\")\n",
    "xlabel(L\"f (THz)\")\n",
    "xlim([320,350])\n",
    "#xticks(linspace(800,960,5))\n",
    "#ylabel(L\"$G_{xx}/G_0$ (arbitrary units)\")\n",
    "ylim([-4e-2,4e-2])\n",
    "legend([\"Real\", \"Imag\"],fontsize=8)\n",
    "#legend([\"Imag\"],fontsize=8)\n",
    "\n",
    "subplot(1,3,2)\n",
    "plot(freq,real(Gyx))\n",
    "plot(freq,imag(Gyx))\n",
    "plot([ω/2./pi,ω/2./pi], [-2., 2.],linestyle=\":\")\n",
    "title(\"\\$G_{yx}(f)/G_0\\$\")\n",
    "xlabel(L\"f (THz)\")\n",
    "xlim([320,350])\n",
    "#xticks(linspace(800,960,5))\n",
    "#ylabel(L\"$G_{yx}/G_0$ (arbitrary units)\")\n",
    "ylim([-4e-2,4e-2])\n",
    "legend([\"Real\", \"Imag\"],fontsize=8)\n",
    "\n",
    "subplot(1,3,3)\n",
    "plot(freq,real(Gzx))\n",
    "plot(freq,imag(Gzx))\n",
    "plot([ω/2./pi,ω/2./pi], [-2., 2.],linestyle=\":\")\n",
    "title(\"\\$G_{zx}(f)/G_0\\$\")\n",
    "xlabel(L\"f (THz)\")\n",
    "xlim([320,350])\n",
    "#xticks(linspace(800,960,5))\n",
    "#ylabel(L\"$G_{zx}/G_0$ (arbitrary units)\")\n",
    "ylim([-4e-2,4e-2])\n",
    "legend([\"Real\", \"Imag\"],fontsize=8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Compared to the 3D simulation, this 2D simulation result above is definitely off the line. It might be because the nature of the problem doesn't allow this simplification of simulation setting to 2D. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 0.5.1",
   "language": "julia",
   "name": "julia-0.5"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "0.5.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
